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If A and B ar two events such that `P(A uuB) =(5)/(6) ,P(A nnB) =(1)/(3) ` and `P(bar(B) =(1)/(2))` then the events A and B are

A

independent

B

dependet

C

mutually exclusive

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`P(B)=1-P(bar(B))=(1-(1)/(2)) =(1)/(2)`
`P(A uu B) =P(A)+P(B)-P(A nnB) rArr P(A) =(2)/(3)`
`P(A).P(B)=((2)/(3)xx (1)/(2)) =(1)/(3)=P(A nn B)`
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RS AGGARWAL-PROBABILITY DISTRIBUTION-Objective Questions
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  2. If P(A)=(1)/(4),P(B) =(1)/(3) "and " P(A nn B)=(1)/(5) " then " P(ba...

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  3. If A and B are events such that P(A)= 0.4 , P(B) =0,8 " and " P(B/...

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  4. If A and B are independent events then P(bar(A)//bar(B)) =?

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  5. If A and B ar two events such that P(A uuB) =(5)/(6) ,P(A nnB) =(...

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  12. A coin is tossed 5 times. What is the probability that tail appears an...

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  13. A coin is tossed 5 times . What is the probability that head appe...

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  16. In 4 throws with a pair of dice , what is the probability of thr...

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  19. The probability of any ship return safely to the port is 1/5 . Find th...

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